51123432400 has 30 divisors (see below), whose sum is σ = 122824047302. Its totient is φ = 20449372800.

The previous prime is 51123432389. The next prime is 51123432401. The reversal of 51123432400 is 423432115.

It can be written as a sum of positive squares in 3 ways, for example, as 8763206544 + 42360225856 = 93612^2 + 205816^2 .

It is a super-2 number, since 2×51123432400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51123432401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63903891 + ... + 63904690.

Almost surely, 2^51123432400 is an apocalyptic number.

51123432400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51123432400 is an abundant number, since it is smaller than the sum of its proper divisors (71700614902).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51123432400 is a wasteful number, since it uses less digits than its factorization.

51123432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127808599 (or 127808588 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 51123432400 its reverse (423432115), we get a palindrome (51546864515).

The spelling of 51123432400 in words is "fifty-one billion, one hundred twenty-three million, four hundred thirty-two thousand, four hundred".